# How do you evaluate #(- 4\frac { 1} { 2} ) - 1\frac { 1} { 3}#?

Convert both mixed numbers to improper fractions and add them. The result is

Now you can add the the negative values of both fractions

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the fractions in each mixed number should have a common denominator.

first subtract the whole numbers:

then the fractions:

then add these together:

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To evaluate ( (-4\frac{1}{2}) - 1\frac{1}{3} ), first convert each mixed number into an improper fraction, then subtract:

( -4\frac{1}{2} = -\frac{9}{2} )

( -1\frac{1}{3} = -\frac{4}{3} )

Now, subtract the second fraction from the first:

( -\frac{9}{2} - (-\frac{4}{3}) )

To subtract fractions, find a common denominator:

The least common multiple of 2 and 3 is 6.

( -\frac{27}{6} - (-\frac{8}{6}) )

Now subtract the numerators:

( -\frac{27}{6} + \frac{8}{6} = -\frac{19}{6} )

Therefore, ( (-4\frac{1}{2}) - 1\frac{1}{3} = -\frac{19}{6} ).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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